{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "19063e99-0e34-470f-92e5-bb35b46f39ac",
   "metadata": {},
   "source": [
    "Chapter 11\n",
    "# 设置三维图像观察视角\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0beb7736-715e-448e-87c2-7699b2efbef5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "# 导入Matplotlib的绘图模块"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "12b5beb9-29f6-44bf-8c81-3b261e8b029e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "# 创建一个新的图形窗口\n",
    "\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "# 在图形窗口中添加一个3D坐标轴子图\n",
    "\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "# 设置坐标轴的标签\n",
    "\n",
    "ax.set_proj_type('ortho')\n",
    "# 设置投影类型为正交投影 (orthographic projection)\n",
    "\n",
    "ax.view_init(elev=30, azim=30)\n",
    "# 设置观察者的仰角为30度，方位角为30度，即改变三维图形的视角\n",
    "\n",
    "ax.set_box_aspect([1,1,1])\n",
    "# 设置三个坐标轴的比例一致，使得图形在三个方向上等比例显示\n",
    "\n",
    "plt.show()\n",
    "# 显示图形"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
